Factorise :100-25p²
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Solution:
Now, 100 - 25p²
= 10² - (5p)²
= (10 + 5p) (10 - 5p)
= {5 (2 + p)} {5 (2 - p)}
= (5 * 5) (2 + p) (2 - p)
= 25 (2 + p) (2 - p) ,
which is the required factorization.
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